Reddy producestwo type pf cups (Type 1 and Type 2). A Type 1 cup needs twice as much labour time as a Type 2 cup. If allthe available labour time is dedicated to type 2 cup alone, the company can make a total of 440 Type 2 cups a day. The respective market limits (maximum order) for the two types are 150 and 200 cups per day. The revenue is 6$ per Type 1 Cup and 4$ per Type 2 cup. Let x, y be the number of Type 1 cups and Type 2 cups made per day, respectively. The company plans to maximise its revenue.

i-) Formulate the problem as a linear program.

ii-) Use the graphical soluton to determine the optimal solution.

iii-) If the daily demand limit on the Type 1 cupp is decreased to 120, does the optimal solution changed?

iv-) How much can the market limit increase for Type 2 cup when the optimal solution remains.